10397482444800 has 3456 divisors, whose sum is σ = 46111867401600. Its totient is φ = 2293235712000.

The previous prime is 10397482444777. The next prime is 10397482444823. The reversal of 10397482444800 is 844428479301.

10397482444800 is a `hidden beast` number, since 1 + 0 + 397 + 4 + 8 + 244 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10397482444777) and next prime (10397482444823).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95389747146 + ... + 95389747254.

It is an arithmetic number, because the mean of its divisors is an integer number (13342554225).

Almost surely, 2^{10397482444800} is an apocalyptic number.

10397482444800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10397482444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23055933700800).

10397482444800 is an abundant number, since it is smaller than the sum of its proper divisors (35714384956800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10397482444800 is a wasteful number, since it uses less digits than its factorization.

10397482444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10397482444800 in words is "ten trillion, three hundred ninety-seven billion, four hundred eighty-two million, four hundred forty-four thousand, eight hundred".